Large volume growth and finite topological type

Authors
Ordway, D Stephens, B Yang, DG
Citation
D. Ordway et al., Large volume growth and finite topological type, P AM MATH S, 128(4), 2000, pp. 1191-1196
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
4
Year of publication
2000
Pages
1191 - 1196
Database
ISI
SICI code
0002-9939(2000)128:4<1191:LVGAFT>2.0.ZU;2-Y
Abstract
It is shown in this paper that a complete noncompact n-dimensional Riemanni an manifold with nonnegative Ricci curvature, sectional curvature bounded f rom below, and large volume growth is of finite topological type provided t hat the volume growth rate of the complement of the cone of rays from a fix ed base point is less than 2 - 1/n.